Almost Gibbsian Measures on a Cayley Tree
Mathematical Physics
2022-02-01 v3 math.MP
Probability
Abstract
We consider the ferromagnetic n.n Ising model on Cayley trees in absence of external fields submitted to a modified majority rule transformation with overlapping cells already known to lead to non-Gibbsian measures. We describe the renormalized measures within the Generalized Gibbs framework and prove that they are Almost Gibbs at any temperature.
Keywords
Cite
@article{arxiv.2105.05767,
title = {Almost Gibbsian Measures on a Cayley Tree},
author = {Matteo D'Achille and Arnaud Le Ny},
journal= {arXiv preprint arXiv:2105.05767},
year = {2022}
}
Comments
24 pages, 3 figures, revised version